Solve (2*3/5)-(2:3/5)^5

$$( 2 \cdot \frac { 3 } { 5 } ) - ( 2 : \frac { 3 } { 5 } ) ^ { 5 }$$

Evaluate

$$-\frac{498542}{1215}\approx -410.322633745$$

Solution Steps

Multiply 2 and \frac{3}{5} to get \frac{6}{5}.

$$\frac{6}{5}-\left(\frac{2}{\frac{3}{5}}\right)^{5}$$

Divide 2 by \frac{3}{5} by multiplying 2 by the reciprocal of \frac{3}{5}.

$$\frac{6}{5}-\left(2\times \frac{5}{3}\right)^{5}$$

Multiply 2 and \frac{5}{3} to get \frac{10}{3}.

$$\frac{6}{5}-\left(\frac{10}{3}\right)^{5}$$

Calculate \frac{10}{3} to the power of 5 and get \frac{100000}{243}.

$$\frac{6}{5}-\frac{100000}{243}$$

Subtract \frac{100000}{243} from \frac{6}{5} to get -\frac{498542}{1215}.

$$-\frac{498542}{1215}$$

Factor

$$-\frac{498542}{1215} = -410\frac{392}{1215} = -410.322633744856$$